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Finding the Fourth Proportional to 723.87, 999.39 and 557.76

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Solution

The fourth proportional to 723.87, 999.39 and 557.76 is: 770.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.87 : 999.39 = 557.76 : x
  2. Step 2: Convert to fraction form
    723.87/999.39 = 557.76/x
  3. Step 3: Cross multiply
    723.87x = 999.39 × 557.76
  4. Step 4: Simplify right side
    723.87x = 557,419.77
  5. Step 5: Solve for x
    x = 557,419.77/723.87
  6. Step 6: Final answer
    x = 770.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.